# Numerator Modulo 2011

Number Theory Level 4

Suppose $\dfrac{1}{1} + \dfrac{1}{2} + \dfrac{1}{3} + \cdots + \dfrac{1}{2010} = \dfrac{m}{n}$ for some coprime positive integers $$m, n.$$ Find the remainder when $$m$$ is divided by $$2011$$.

×